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Hilbert c*-module

complex module E over a C*-algebra A equipped with an A-sesquilinear and complex-sesquilinear map ⟨–,–⟩: E×E→A that is nonnegative nondegenerate and satisfies the Cauchy–Schwartz inequality

Pronunciation
/ˈhɪlbərt si * - ˈmɑʤul/